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Method for Solving Systems of Differential Equations with Application in Nonlinear Optics

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dc.contributor.authorDakova, A.
dc.contributor.authorDakova, D.
dc.contributor.authorKasapeteva, Z.
dc.contributor.authorBiswas, A.
dc.contributor.authorSlavchev, V.
dc.contributor.authorKovachev, L.
dc.date.accessioned2024-12-25T09:47:21Z
dc.date.available2024-12-25T09:47:21Z
dc.date.issued2022
dc.description.abstractThe present paper focuses on a specific method for solving systems of differential equations with application in nonlinear optics. The basic system is presented by two coupled nonlinear differential equations, written in dimensionless form, which govern the propagation of light pulses in optical fibers. The mathematical algorithm is described in detail in the article. The system is analytically solved. The obtained solutions of the equations are in the form of special functions - Jacobi elliptic delta function. They determine the periodical energy exchange between light pulses. The mathematical method can be applied for pulses with arbitrary initial intensities, generalized phase and wave number mismatch.
dc.identifier.citationMethod for Solving Systems of Differential Equations with Application in Nonlinear Optics / Dakova, A. [et al.] // AIP Conference Proceedings. - 2022. - 2505. - 10.1063/5.0100693
dc.identifier.doi10.1063/5.0100693
dc.identifier.urihttps://www.doi.org/10.1063/5.0100693
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85139004678&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/27572
dc.relation.ispartofAIP Conference Proceedings
dc.titleMethod for Solving Systems of Differential Equations with Application in Nonlinear Optics
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.volume2505
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